Hi, I’m not as completely familiar with the late 80’s Custom Cruisers as earlier models so some things could be different. Many (if not all) earlier Custom Cruisers 77 and up square bodies) came with fairly durable rear axle assemblies. My 79 came with an 8.5”, limited slip posi, “P” axle that was/is plenty capable behind the 403-TH350 combo, under a 4200lb car, pulling a 4000lb trailer, geared in 2.41:1 no less. Your ‘88 may have something similar. Ring gear and pinion isn’t that hard to change if you’re looking for better off the line performance, but I don’t see a 330ci SBC blowin out my P axle assembly unless it was heavily modified.
Your transmission tunnel is large enough to accommodate even a large transmission like a TH400/4L80. The TH350/TH350C/700-R4/4L60 should fit inside the tunnel easily. I’ve attached a transmission dimension chart. It shows the placement of the mount on various models. The 200-4R that likely came stock on your ‘88 Custom Cruiser does not have a separate tail shaft housing and the trans mount is quite a bit further south than other transmissions. Move the cross member forward on the frame to line up the mount on a 700R4/4L60. You might not even need to drill any holes as the may be there already (ala TH350 applications) or order an RCB700 from Summit if you want double bumps for dual exhaust, (both of my 2 1/4” pipes go through the passenger side bump on my ‘79-not the most efficient for power, but it works) but you may still need to drill some new frame holes. I’m more concerned with the computer to make an electronic transmission (4L60E/4l80) work. You’ll need the computer from the donor vehicle to run the 5.3l/330ci AND the 4L60E it was likely paired with. I am unaware of a 5.3/330 ever being paired with a 4L80 from the factory. I’m sure there are aftermarket computers available to make a 4L80 work but I’m guessing it would take a lot of cubic dollars to do so. That said, the TH200-4R can be, and has been built to handle “big” power. (Grand Nationals came stock with them) 500 HP versions are available online, they bolt right up to your car, and require no computer, just a well adjusted TV cable (throttle valve cable-NOT a detent cable) the vacuum and transmission pressure switches that already exist on your Custom Cruiser, and it’ll work fine. Not to mention the added benefits of not having to figure out how to make your speedometer work with an electric transmission and using the driveshaft, yoke, cross member, and trans mount system that you already own.
I understand that the stock 5.0/307 leaves a lot to be desired in the performance department, but that can be addressed in a lot of ways including putting a 7.4l/455ci under the hood which fits in your engine compartment AND bolts directly to your frame and (well built) 200-4R. A 1969 Olds 98 came from the factory with a hi output, 10.25:1 compression ration, 360+hp, and a very impressive 500ft/lbs of torque. It won’t make a dragster out of your Dragon (as I affectionately call them) but it’ll keep your Oldsmobile an Oldsmobile and move your Custom Cruiser down the road very impressively.Just add an Oldsmobile Diesel emblem on the tail gate and you’ll have one Deluxe sleeper on your hands/under your foot. Either way, TH200-4R’s came with universal bell house bolt patterns and will bolt to any GM V8 (and most V6’s) of the era. That’s any B.O.P. (Buick/Olds/Pontiac) plus any Cadillac or Chevrolet.
You might be willing to spend a truckload of American dollars on the job, but you have lots of options with the stuff you already own. Again, if you’re looking to make a dragster out of it, disregard everything I just said, pick up the radiator cap and slide an LS3 (with the entire driveline and computer) underneath it and you’ll be halfway there.